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Finding the Third Proportional to 48,391.50 and 104,199

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Solution

The third proportional to 48,391.50 and 104,199 is: 224,366.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,391.50 : 104,199 = 104,199 : x
  2. Step 2: Convert to fraction form
    48,391.50/104,199 = 104,199/x
  3. Step 3: Cross multiply
    48,391.50x = 104,199 × 104,199
  4. Step 4: Simplify right side
    48,391.50x = 10,857,431,601
  5. Step 5: Solve for x
    x = 10,857,431,601/48,391.50
  6. Step 6: Final answer
    x = 224,366.50

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.